Solve the quadratic equation (5x + 3)(3x - 6) = 0.

Sure, here are the steps to solve the quadratic equation (5x + 3)(3x - 6) = 0:

Step 1: Set each factor equal to zero. This is because if either factor is zero, the whole equation will be zero. So we have:

5x + 3 = 0 3x - 6 = 0

Step 2: Solve each equation for x.

For 5x + 3 = 0, subtract 3 from both sides to get 5x = -3, then divide both sides by 5 to get x = -3/5.

For 3x - 6 = 0, add 6 to both sides to get 3x = 6, then divide both sides by 3 to get x = 2.

So the solutions to the equation (5x + 3)(3x - 6) = 0 are x = -3/5 and x = 2.